pls help (3 marks) (de Broglie\'s matter wave) What is the wavelength of a 60kg
ID: 1792774 • Letter: P
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pls help
(3 marks) (de Broglie's matter wave) What is the wavelength of a 60kg person walking at 1m/s? How does this wavelength compare to the size of a hydrogen atom? (5 marks) Assume that the energy (electric potential energy) is zero for an electron that is infinitely far from a proton, would the energy be positive or negative fo electron that is bond inside an atom? An electron in an atom transitions from an atomic energy level of-1.5eV to a level of -3.4eV, will this electron emit or absorb a photon? What is the wavelength of the photon? (1 eV = 1.6 × 10-19 1. 2. 3. (4 marks) One of the most harmful radioactive waste spilled by the Chernobyl Disaster was an isotope of iodine: 13I. Assume a resident in the Chernobyl area picked up a grain (1 microgram) of pure 13I in his hair after the explosion, approximately how many decays would have happened in the grain in the first 8 days? (131 grams of 13I contains 6.02 x 1023 atoms) 4. (3 marks) A skull of an ancient ape was measured to have 1/64 of the intensity of the C radiation that an ape living today has from its skull. Approximately how many years ago was this ape living? 5. (5 marks) What is the mass of a proton, the mass of a neutron, and the mass of an alpha particle? If we directly fuse 2 protons and 2 neutrons (which results in 1 alpha particle), how much energy would be released? If this energy is fully converted to the kinetic energy of the alpha particle, what would be the speed of the particle (ignore relativity for this part)? Feel free to Google for the missing information. Specify which numbers you have obtained from Google when you write your answers.Explanation / Answer
1. p = m v
and wavelength = h / p = (6.626 x10^-34) / (60 x 1)
= 1.104 x 10^-35 m ........Ans
2. Energy will be negative.
delta(E) = -3.4 - (- 1.5) = - 1.9
so it emitted a photon.
wavelength = h c / E
= 1240 eV-nm / 1.9
= 652.6 nm
Or 652.6 x 10^-9 m
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